Atlas1,069 of 3,942

I.B.121

From Li & Liao (2017)

I.B.121 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.9 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000955 of each other at a top speed of 102, line up 268 times a period, and the computed loop closes to 5.4×10⁻²⁴.

Measured over one period

Period: 165.8951640
Masses: 1 : 1 : 1
Energy: -1.77365
Angular momentum: 0
Closest approach: 9.5×10⁻⁵
Top speed: 102.3
Path length: 439.91
Alignments per period: 268
Topology: ababABAbabABAbabaBABabaBABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabaBABabaBABababABAbabABABabaBABababABAbabABAbabaBABabaBABAbabABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.4×10⁻²⁴

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.